Metric field as emergence of Hilbert space
Abstract First, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call quantum acceleration operator (QAO). Thereu...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-82851-4 |
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| author | Maysam Yousefian Mehrdad Farhoudi |
| author_facet | Maysam Yousefian Mehrdad Farhoudi |
| author_sort | Maysam Yousefian |
| collection | DOAJ |
| description | Abstract First, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call quantum acceleration operator (QAO). Thereupon, we investigate the relation between the vacuum of two different frames in the Minkowski space. Also, we show that the vacuum of each accelerated frame in the Minkowski space can be obtained by applying such a QAO to the Minkowski vacuum. Furthermore, utilizing these QAOs, we augment the Hilbert space and then extract the metric field of a general frame of the Minkowski spacetime. In this approach, these concepts emerge from the Hilbert space through the constructed QAOs. Accordingly, such an augmented Hilbert space includes quantum field theory in a general frame and can be considered as a fundamental concept instead of the classical metric field and the standard Hilbert space. |
| format | Article |
| id | doaj-art-0261f58607494f029843b258ff1d8126 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-0261f58607494f029843b258ff1d81262025-02-09T12:37:38ZengNature PortfolioScientific Reports2045-23222025-02-011511810.1038/s41598-024-82851-4Metric field as emergence of Hilbert spaceMaysam Yousefian0Mehrdad Farhoudi1Department of Physics, Shahid Beheshti UniversityDepartment of Physics, Shahid Beheshti UniversityAbstract First, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call quantum acceleration operator (QAO). Thereupon, we investigate the relation between the vacuum of two different frames in the Minkowski space. Also, we show that the vacuum of each accelerated frame in the Minkowski space can be obtained by applying such a QAO to the Minkowski vacuum. Furthermore, utilizing these QAOs, we augment the Hilbert space and then extract the metric field of a general frame of the Minkowski spacetime. In this approach, these concepts emerge from the Hilbert space through the constructed QAOs. Accordingly, such an augmented Hilbert space includes quantum field theory in a general frame and can be considered as a fundamental concept instead of the classical metric field and the standard Hilbert space.https://doi.org/10.1038/s41598-024-82851-4 |
| spellingShingle | Maysam Yousefian Mehrdad Farhoudi Metric field as emergence of Hilbert space Scientific Reports |
| title | Metric field as emergence of Hilbert space |
| title_full | Metric field as emergence of Hilbert space |
| title_fullStr | Metric field as emergence of Hilbert space |
| title_full_unstemmed | Metric field as emergence of Hilbert space |
| title_short | Metric field as emergence of Hilbert space |
| title_sort | metric field as emergence of hilbert space |
| url | https://doi.org/10.1038/s41598-024-82851-4 |
| work_keys_str_mv | AT maysamyousefian metricfieldasemergenceofhilbertspace AT mehrdadfarhoudi metricfieldasemergenceofhilbertspace |